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Finding the Fourth Proportional to 165,227.66, 247,841.01 and 46,899.11

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Solution

The fourth proportional to 165,227.66, 247,841.01 and 46,899.11 is: 70,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,227.66 : 247,841.01 = 46,899.11 : x
  2. Step 2: Convert to fraction form
    165,227.66/247,841.01 = 46,899.11/x
  3. Step 3: Cross multiply
    165,227.66x = 247,841.01 × 46,899.11
  4. Step 4: Simplify right side
    165,227.66x = 11,623,522,790.50
  5. Step 5: Solve for x
    x = 11,623,522,790.50/165,227.66
  6. Step 6: Final answer
    x = 70,348.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.